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A Böchner technique for harmonic mappings from a 3-manifold to a surface

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Publication:1812987
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DOI10.1007/BF00128338zbMath0756.58012MaRDI QIDQ1812987

Paul Baird

Publication date: 25 June 1992

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)


zbMATH Keywords

maximum principleharmonic mapharmonic morphism


Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)


Related Items

Contact structures and Beltrami fields on the torus and the sphere ⋮ Stress-energy tensors and the Lichnerowicz Laplacian ⋮ Eigenvalues of harmonic almost submersions ⋮ Unique continuation of semi-conformality for a harmonic mapping onto a surface



Cites Work

  • Bernstein theorems for harmonic morphisms from \({\mathbb R}\) 3 and S 3
  • Harmonic morphisms and circle actions on 3- and 4-manifolds
  • A mapping of Riemannian manifolds which preserves harmonic functions
  • Harmonic morphisms between Riemannian manifolds
  • Harmonic Morphisms, Seifert Fibre Spaces and Conformal Foliations
  • HARMONIC MAPS BETWEEN SPHERES AND ELLIPSOIDS
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